GCF of 2952/443, 7919/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2952/443, 7919/619 i.e 1/274217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2952/443, 7919/619.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2952/443,7919/619?
Given fractions are 2952/443,7919/619
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2952/443,7919/619, numerators are 2952,7919
Denominators are 443,619
The GCF of 2952,7919 is 1 .
LCM of 443,619 is 274217.
The greatest common factor of 2952/443,7919/619 = [GCF of 2952,7919]/[LCM of 443,619]= 1/274217
Therefore, the GCF of 2952/443,7919/619 is 1/274217.
To find the highest common factor of 2952,7919, we have to find the factors of both numbers and list the highest common factor.
The factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952
The factors of 7919 are 1, 7919
The HCF of 2952,7919 is 1.
Lets's calculate GCF of 2952,7919
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2952,7919 By Matching Biggest Common Factor Method
Now, list down the factors of 2952
:1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Now, list down the factors of 7919
:1,7919
Greatest Common Factor
We found the factors 2952,7919 . The biggest common factor number is the GCF number.
So the greatest common factor 2952,7919 is 1.
Lets's calculate LCM of 443,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 274217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274217
Therefore, the GCF of Fractions 2952/443,7919/619 is 1/274217
Least Common Multiple of 443,619 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 443,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,619) x common factors =1 x 1 = 1
LCM(443,619) = ( 443 × 619 ) / 1
LCM(443,619) = 274217 / 1
LCM(443,619) = 274217
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FAQs on GCF of Fractions of 2952/443, 7919/619
1. What is the HCF of 2952,7919?
The HCF of 2952,7919 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2952/443, 7919/619?
Answer: GCF of Numerators as per given numbers 2952/443, 7919/619 is
GCF of Numerators i.e. for 2952,7919 is 1
LCM of denominators i.e. for 443,619 is 274217.
Thus, GCF of Fractions is 1/274217.Finally, GCF of Fractions for 2952/443, 7919/619 is 1/274217.